GCD of 31, 740, 993, 588 Calculator

Given Input numbers are 31, 740, 993, 588

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 31, 740, 993, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 740, 993, 588 is 1.

Therefore, GCD of numbers 31, 740, 993, 588 is 1

Given Input Data is 31, 740, 993, 588

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 31 is 31

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 993 is 3 x 331

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(31, 740) = 22940

GCD(31, 740) = ( 31 x 740 ) / 22940

GCD(31, 740) = 22940 / 22940

GCD(31, 740) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 31, 740, 993, 588 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 985, 383, 609
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1. What is the GCD of 31, 740, 993, 588?

GCD of 31, 740, 993, 588 is 1

2. Where do I get the detailed procedure to find GCD of 31, 740, 993, 588?

You can find a detailed procedure to find GCD of 31, 740, 993, 588 on our page.

3. How to find GCD of 31, 740, 993, 588 on a calculator?

You can find the GCD of 31, 740, 993, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.